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Full-Text Articles in Logic and Foundations
Coincidence Of Bargaining Solutions And Rationalizability In Epistemic Games, Todd Stambaugh
Coincidence Of Bargaining Solutions And Rationalizability In Epistemic Games, Todd Stambaugh
Dissertations, Theses, and Capstone Projects
Chapter 1: In 1950, John Nash proposed the Bargaining Problem, for which a solution is a function that assigns to each space of possible utility assignments a single point in the space, in some sense representing the ’fair’ deal for the agents involved. Nash provided a solution of his own, and several others have been presented since then, including a notable solution by Ehud Kalai and Meir Smorodinsky. In chapter 1, a complete account is given for the conditions under which the two solutions will coincide for two player bargaining scenarios.
Chapter 2: In the same year, Nash …
Epistemic Considerations On Extensive-Form Games, Cagil Tasdemir
Epistemic Considerations On Extensive-Form Games, Cagil Tasdemir
Dissertations, Theses, and Capstone Projects
In this thesis, we study several topics in extensive-form games. First, we consider perfect information games with belief revision with players who are tolerant of each other’s hypothetical errors. We bound the number of hypothetical non-rational moves of a player that will be tolerated by other players without revising the belief on that player’s rationality on future moves, and investigate which games yield the backward induction solution.
Second, we consider players who have no way of assigning probabilities to various possible outcomes, and define players as conservative, moderate and aggressive depending on the way they choose, and show that all …